A roller coaster track is 3,000 meters long. It takes 100 seconds to travel once around the roller coaster. What is the average speed of the roller coaster?

The average speed of the rollercoaster is 30 meters per second.

Step-by-step explanation:

Hi, since:

Speed rate = distance /time

To answer this question we simply have to divide the length (distance) of the rollercoaster (3,000 meters) by the time spent on traveling it (100 seconds)

Mathematically speaking;

3000 meters / 100 seconds = 30 meters per second

The average speed of the rollercoaster is 30 meters per second.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.